Open String Fluctuations in AdS with and without Torsion

Abstract

The equations of motion and boundary conditions for the fluctuations around a classical open string, in a curved space-time with torsion, are considered in compact and world-sheet covariant form. The rigidly rotating open strings in Anti de Sitter space with and without torsion are investigated in detail. By carefully analyzing the tangential fluctuations at the boundary, we show explicitly that the physical fluctuations (which at the boundary are combinations of normal and tangential fluctuations) are finite, even though the world-sheet is singular there. The divergent 2-curvature thus seems less dangerous than expected, in these cases. The general formalism can be straightforwardly used also to study the (bosonic part of the) fluctuations around the closed strings, recently considered in connection with the AdS/CFT duality, on AdS_5 \times S^5 and AdS_3 \times S^3 \times T^4.

19 pages, Latex

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Cited by in corpus (6)

• Folded Three-Spin String Solutions in AdS_5 x S^5
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• On the Classical String Solutions and String/Field Theory Duality
• On the Classical String Solutions and String/Field Theory Duality II
• String Solutions in General Backgrounds
• Pulsating string solution and stability in two parameter $\chi$-deformed background